Analysis and numerical methods for fractional differential equations with delay

• Autores: M. L. Morgado, N. J. Ford, P. M. Lima
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 252, Nº 1, 2013, págs. 159-168
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.06.034
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• Resumen

  • In this paper, we consider fractional differential equations with delay. We focus on linear equations. We summarise existence and uniqueness theory based on the method of steps and we give a theorem on the propagation of derivative discontinuities. We discuss the dependence of the solution on the parameters of the equation and conclude with a numerical treatment and examples based on the adaptation of a fractional backward difference method to the delay case.